# This function is a modified version from package MBESS
# copied from https://github.com/cran/MBESS/blob/master/R/conf.limits.ncf.R
# Author: Ken Kelley
# License: GPL-3
confint_ncg <- function(F.value = NULL, conf.level = 0.95, df.1 = NULL, df.2 = NULL) {
alpha.lower <- alpha.upper <- (1 - conf.level) / 2
tol <- 1e-09
Jumping.Prop <- 0.1
FAILED <- NULL
LL.0 <- stats::qf(p = alpha.lower * 5e-04, df1 = df.1, df2 = df.2)
Diff <- stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = LL.0) - (1 - alpha.lower)
if (stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = LL.0) < (1 - alpha.lower)) {
FAILED <- if (stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = 0) < 1 - alpha.lower)
LL.0 <- 1e-08
if (stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = LL.0) < 1 - alpha.lower)
FAILED <- TRUE
}
if (is.null(FAILED)) {
LL.1 <- LL.2 <- LL.0
while (Diff > tol) {
LL.2 <- LL.1 * (1 + Jumping.Prop)
Diff <- stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = LL.2) - (1 - alpha.lower)
LL.1 <- LL.2
}
LL.1 <- LL.2 / (1 + Jumping.Prop)
LL.Bounds <- c(LL.1, (LL.1 + LL.2) / 2, LL.2)
Diff <- stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = LL.Bounds[2]) - (1 - alpha.lower)
while (abs(Diff) > tol) {
Diff.1 <- stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = LL.Bounds[1]) - (1 - alpha.lower) > tol
Diff.2 <- stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = LL.Bounds[2]) - (1 - alpha.lower) > tol
Diff.3 <- stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = LL.Bounds[3]) - (1 - alpha.lower) > tol
if (isTRUE(Diff.1) && isTRUE(Diff.2) && !isTRUE(Diff.3)) {
LL.Bounds <-
c(LL.Bounds[2], (LL.Bounds[2] + LL.Bounds[3]) / 2, LL.Bounds[3])
}
if (isTRUE(Diff.1) && !isTRUE(Diff.2) && !isTRUE(Diff.3)) {
LL.Bounds <-
c(LL.Bounds[1], (LL.Bounds[1] + LL.Bounds[2]) / 2, LL.Bounds[2])
}
Diff <- stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = LL.Bounds[2]) - (1 - alpha.lower)
}
LL <- LL.Bounds[2]
}
if (!is.null(FAILED)) LL <- NA
FAILED.Up <- NULL
UL.0 <- stats::qf(p = 1 - alpha.upper * 5e-04, df1 = df.1, df2 = df.2)
Diff <- stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = UL.0) - alpha.upper
if (Diff < 0) UL.0 <- 1e-08
Diff <- stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = UL.0) - alpha.upper
if (Diff < 0) FAILED.Up <- TRUE
if (is.null(FAILED.Up)) {
UL.1 <- UL.2 <- UL.0
while (Diff > tol) {
UL.2 <- UL.1 * (1 + Jumping.Prop)
Diff <- stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = UL.2) - alpha.upper
UL.1 <- UL.2
}
UL.1 <- UL.2 / (1 + Jumping.Prop)
UL.Bounds <- c(UL.1, (UL.1 + UL.2) / 2, UL.2)
Diff <- stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = UL.Bounds[2]) - alpha.upper
while (abs(Diff) > tol) {
Diff.1 <- stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = UL.Bounds[1]) - alpha.upper > tol
Diff.2 <- stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = UL.Bounds[2]) - alpha.upper > tol
Diff.3 <- stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = UL.Bounds[3]) - alpha.upper > tol
if (isTRUE(Diff.1) && isTRUE(Diff.2) && !isTRUE(Diff.3)) {
UL.Bounds <-
c(UL.Bounds[2], (UL.Bounds[2] + UL.Bounds[3]) / 2, UL.Bounds[3])
}
if (isTRUE(Diff.1) && !isTRUE(Diff.2) && !isTRUE(Diff.3)) {
UL.Bounds <- c(UL.Bounds[1], (UL.Bounds[1] + UL.Bounds[2]) / 2, UL.Bounds[2])
}
Diff <- stats::pf(q = F.value, df1 = df.1, df2 = df.2, ncp = UL.Bounds[2]) - alpha.upper
}
UL <- UL.Bounds[2]
}
if (!is.null(FAILED.Up)) UL <- NA
list(Lower.Limit = LL, Upper.Limit = UL)
}
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